Operations Research Answers

Question Two

A company has five jobs to be done. The following matrix shows the return in USD of assigning i th machine (i=1,2,3,4,5) to the j th job (j=1,2,3,4,5).

Job 1 Job 2 Job 3 Job 4 Job 5

Machines 5 11 10 12 4

1

2 4 6 3 5

2

3 12 5 14 6

3

6 14 4 11 7

4

7 9 8 12 8

5

Assign jobs to the machines (utilize Hungarian method) so as to maximize the expected profit.

(10 marks)

Identify and explain types of layouts that your organisation might use when organizing their operations management functions. Show how each layout increases the efficiency of the firm.

explain and discuss the strategic importance of layout decisions in operations management.

A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

Small medium large

Electronic circuit component 5 7 10

Assembly time (n) 1 3 4

Cases 1 1 1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A. How many of each should be produced to yield maximum profit

B. What is the maximum profit?

A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

Small medium large

Electronic circuit component 5 7 10

Assembly time (n) 1 3 4

Cases 1 1 1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A. How many of each should be produced to yield maximum profit

B. What is the maximum profit?

A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?

A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?

A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?

Maximize z = 15x1+45x2

Subject to x2<= 50, x1+1.6x2<= 240, 0.5x1+2x2<=162 and all x1,x2=>0.

If Maximize z° = c1x1+c2x2 and c2 is fixed at 45, determine how much c1 can be changed without affecting the above optimal solution.

The ticket booth on the Tech campus is operated by one person, who is selling

tickets for the annual Tech versus State football game on Saturday. The ticket

seller can serve an average of 12 customers per hour; on average, 10 customers

arrive to purchase tickets each hour. Determine the average time a ticket buyer

must wait and the portion of time the ticket seller is busy.